Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644m |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4318272 |
Modular degree for the optimal curve |
Δ |
-1.3016420091699E+21 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -4 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9549234,11486667877] |
[a1,a2,a3,a4,a6] |
Generators |
[2613:66199:1] |
Generators of the group modulo torsion |
j |
-73984 |
j-invariant |
L |
1.4679699841321 |
L(r)(E,1)/r! |
Ω |
0.15326116788523 |
Real period |
R |
4.7891126117805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56644k1 56644s1 |
Quadratic twists by: -7 17 |